12750665426400 has 288 divisors, whose sum is σ = 45952228119168. Its totient is φ = 3044934604800.

The previous prime is 12750665426383. The next prime is 12750665426483. The reversal of 12750665426400 is 462456605721.

12750665426400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12750665426400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1835527 + ... + 5373126.

It is an arithmetic number, because the mean of its divisors is an integer number (159556347636).

Almost surely, 2^{12750665426400} is an apocalyptic number.

12750665426400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12750665426400 is an abundant number, since it is smaller than the sum of its proper divisors (33201562692768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12750665426400 is a wasteful number, since it uses less digits than its factorization.

12750665426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208754 (or 7208741 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 12750665426400 in words is "twelve trillion, seven hundred fifty billion, six hundred sixty-five million, four hundred twenty-six thousand, four hundred".